Nonlinear diagnostic filter design: algebraic and geometric points of view

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1. Alcorta-Garcia E. and Frank P.M. (1997): Deterministic nonlinear observer-based approach to fault diagnosis: A survey. - Contr. Eng. Pract., Vol. 5, No. 5, pp. 663-670. 
2. Birk J. and Zeitz M. (1988): Extended Luenberger observer for nonlinear multivariable systems. - Int. J. Contr., Vol. 47, No. 6, pp. 1823-1836. Zbl0648.93022
3. Chen J. and Patton R.J. (1994): A reexamination of fault detectability and isolability in linear dynamic systems. - Proc. Int. Symp. Safeprocess'94, Espoo, Finland, pp. 590-596. 
4. Chow E.Y. and Willsky A.S. (1984): Analytical redundancy and the design of robust failure detection systems. - IEEE Trans. Automat. Contr., Vol. AC-29, No. 7, pp. 603-614. Zbl0542.90040
5. De Persis C. and Isidori A. (2001): A geometric approach to nonlinear fault detection and isolation. - IEEE Trans. Automat. Contr., Vol. AC-46, No. 6, pp. 853-865. Zbl1009.93003
6. Ding X. and Frank P.M. (1990): Nonlinear observer design via an extended canonical form. - Syst. Contr. Lett., Vol. 15, pp. 313-322. Zbl0724.93009
7. Edelmayer A., Bokor J., Szabo Z. and Szigeti F. (2004): Fault reconstruction by means of system inversion: a geometric approach to fault detection and isolation in nonlinear systems. - Int. J. Appl. Math. Comput. Sci., Vol. 14, No. 2, pp. 189-199. Zbl1083.93008
8. Frank P.M. (1990): Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - A survey and some new results. - Automatica, Vol. 26, No. 3, pp. 459-474. Zbl0713.93052
9. Frank P.M. (1996): Analytical and qualitative model-based fault diagnosis - A survey and some new results. - Europ. J. Contr., Vol. 2, No. 1, pp. 6-28. Zbl0857.93015
10. Frank P.M. and Ding X. (1997): Survey of robust residual generation and evaluation methods in observer-based fault detection systems. - J. Process Contr., Vol. 7, No. 3, pp. 403-424. 
11. Gauthier J. and Kupca I. (2000): Deterministic Observation Theory and Application. - Cambridge: Cambridge Univ. Press. 
12. Gertler J. and Kunwer M.M. (1993): Optimal residual decoupling for robust fault diagnosis. - Proc. Int. Conf. Tooldiag'93, Toulouse, France, pp. 436-452. Zbl0817.93039
13. Isidori A. (1989): Nonlinear Control Systems. - London: Springer. Zbl0693.93046
14. Hartmanis J. and Stearns R. (1966): Algebraic Structure Theory of Sequential Machines. - New York: Prentice Hall. Zbl0154.41701
15. Join C., Ponsart J-C. and Sauter D. (2002a): Fault detection and isolation via nonlinear filters. - Proc. 15-th IFAC World Congress,Barcelona, Spain, (on CD ROM). 
16. Join C., Ponsart J-C. and Sauter D. (2002b): Sufficient conditions to fault isolation in nonlinear systems: a geometric approach. - Proc. 15-th IFACs World Congress, Barcelona, Spain, (on CD ROM). 
17. Korn G.A. and Korn T.M. (1961): Mathematical Handbook. - New York: McGraw-Hill. 
18. Massoumnia M.A. (1986): A geometric approach to the synthesis of failure detection filters. - IEEE Trans. Automat. Contr., Vol. AC-31, No. 9, pp. 839-846. Zbl0599.93017
19. Massoumnia M.A., Verghese G.C. and Willsky A.S. (1989): Failure detection and identification. - IEEE Trans. Automat. Contr., Vol. AC-34, No. 3, pp. 316-323. Zbl0682.93061
20. Mironovskii L.A. (1980): Functional diagnosis of dynamic systems. - Automat. Remote Contr., Vol. 41, No. 8, pp. 120-128. 
21. Misawa E.A. and Hedrick J.K. (1989): Nonlinear observers - A state-of-the-art survey. - J. Dynam. Syst. Meas. Contr., Vol. 111, No. 9, pp. 344-352. Zbl0695.93106
22. Park J., Rizzoni G. and Ribbens W.B. (1994): On the representation of sensor faults in fault detection filters. - Automatica, Vol. 30, No. 11, pp. 1793-1795. Zbl0925.93875
23. Shumsky A.Ye. (1988): Model of the faults for discrete systems and its application to the problem of fault diagnosis. - Electronnoye Modelirovanie, Vol. 10, No. 4, pp. 56-61, (in Russian). 
24. Shumsky A.Ye. (1991): Fault isolation in nonlinear systems via functional diagnosis. - Automat. Remote Contr., Vol. 52, No. 12, pp. 148-155. 
25. Shumsky A.Ye. and Zhirabok A.N. (2005): Nonlinear diagnostic filter design: algebraic and geometric points of view. - Proc. 16-th IFAC WorldCongress, Prague, Czech Republic, (on CD ROM). Zbl1334.93081
26. Zhirabok A.N. and Shumsky A.Ye. (1987): Functional diagnosis of continuous dynamic systems described by equations whose right-hand side is polynomial. - Automat. Remote Contr., Vol. 48, No. 8, pp. 154-164, (in Russian issue). 
27. Zhirabok A.N. and Shumsky A.Ye. (1993a): Controllability, Observability, Decomposition of Nonlinear Dynamic Systems. - Vladivostok: Far State Technical University Press, (in Russian). 
28. Zhirabok A.N. and Shumsky A.Ye. (1993b): A new mathematical techniques for nonlinear systems research. - Proc. 12-th IFAC World Congress, Sydney, Australia, Vol. 3, pp. 485-488. 
29. Zhirabok A.N. (1997): Fault detection and isolation: Linear and nonlinear systems. - Prep. Int. Symp. Safeprocess'97, Hull, UK, pp. 903-908. 

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